22 citations · 56 across the 17 of their papers we have counts for
4 papers · 1 filter
Crossover Behaviour In Driven Cascades
James Burridge
We propose a model which explains how power-law crossover behaviour can arise in a system which is capable of experiencing cascading failure. In our model the susceptibility of the…
Shocks Generate Crossover Behaviour In Lattice Avalanches
James Burridge
A spatial avalanche model is introduced, in which avalanches increase stability in the regions where they occur. Instability is driven globally by a driving process that contains s…
The Moment Generating function for ray lengths in the Half Gilbert Model with Rectangular Cells
James Burridge, Richard Cowan
In the full rectangular version of Gilbert's tessellation lines extend either horizontally (with east- and west--growing rays) or vertically (north- and south--growing rays) from s…
Cascade sizes in a branching process with Gamma distributed generations
James Burridge
We derive an exact expression for the probability density function of the cascade size (total progeny) in a continuous state branching process when the generations are Gamma distri…